You are asked to conduct a benefit$-$cost analysis to recommend if the local government should undertake a project to develop Gringoland Marine Park. A set of costs and benefits is given for a $10-$year period. Project $1.$ Gringoland Marine Park Years $012345678910$Costs $($thousands of $$)$ Construction costs$1250$ Recurring costs $130130130130130130130130130130$Foregone recreation$2020202020202020202020$Benefits Increased tourist revenue$300300300300300300300300300300300$Net Benefit: NPV@$5\%------------------$ NPV@$10\%-------------------$ a$.$ What is the role of discount rate in the benefit$-$cost analysis of an environmental project? b$.$ Should you recommend the project if the discount rate is $5\%?$ Why or why not? Show all the necessary calculations. c$.$ Should you change your recommendation if the discount rate is $10\%?$ Why or why not? Show all the necessary calculations.